Document Type
Post-Print
Publication Date
3-2014
Abstract
Under certain analytic and geometric assumptions we show that local stability of the coexistence (positive) fixed point of the planar Ricker competition model implies global stability with respect to the interior of the positive quadrant. This result is a confluence of ideas from Dynamical Systems, Geometry, and Topology that provides a framework to the study of global stability for other planar competition models.
Identifier
10.3934/dcdsb.2014.19.323
Publisher
American Institute of Mathematical Sciences
Repository Citation
Balreira, E. C., Elaydi, S., Luís, R. (2014). Local stability implies global stability for the planar Ricker competition model. Discrete and Continuous Dynamical Systems - Series B, 19(2), 323-351. http://doi.org/10.3934/dcdsb.2014.19.323
Publication Information
Discrete and Continuous Dynamical Systems - Series B